Initialize at openlb-1-3

1 files changed, 171 insertions, 0 deletions

diff --git a/src/functors/analytical/frameChangeF2D.h b/src/functors/analytical/frameChangeF2D.h
new file mode 100644
index 0000000..52fcbb1
--- /dev/null
+++ b/src/functors/analytical/frameChangeF2D.h
@@ -0,0 +1,171 @@
+/*  This file is part of the OpenLB library
+ *
+ *  Copyright (C) 2014-2015 Mathias J. Krause, Marie-Luise Maier
+ *  E-mail contact: info@openlb.net
+ *  The most recent release of OpenLB can be downloaded at
+ *  <http://www.openlb.net/>
+ *
+ *  This program is free software; you can redistribute it and/or
+ *  modify it under the terms of the GNU General Public License
+ *  as published by the Free Software Foundation; either version 2
+ *  of the License, or (at your option) any later version.
+ *
+ *  This program is distributed in the hope that it will be useful,
+ *  but WITHOUT ANY WARRANTY; without even the implied warranty of
+ *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ *  GNU General Public License for more details.
+ *
+ *  You should have received a copy of the GNU General Public
+ *  License along with this program; if not, write to the Free
+ *  Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
+ *  Boston, MA  02110-1301, USA.
+*/
+
+#ifndef ANALYTICAL_FRAME_CHANGE_F_2D_H
+#define ANALYTICAL_FRAME_CHANGE_F_2D_H
+
+#include<vector>
+#include<cmath>
+#include<string>
+#include"math.h"
+
+#include "functors/genericF.h"
+#include "analyticalF.h"
+#include "core/superLattice2D.h"
+
+/** \file
+  This file contains two different classes of functors, in the FIRST part
+  - for simulations in a rotating frame
+  - different functors for
+      velocity (3d, RotatingLinear3D),
+      pressure (1d, RotatingQuadratic1D) and
+      force    (3d, RotatingForceField3D)
+  The functors return the displacement of a point x in a fixed amount of time.
+
+  The ones in the SECOND part are useful to set Poiseuille velocity profiles on
+  - pipes with round cross-section and
+  - pipes with square-shaped cross-section.
+*/
+
+/** To enable simulations in a rotating frame, the axis is set in the
+  * constructor with axisPoint and axisDirection. The axisPoint can be the
+  * coordinate of any point on the axis. The axisDirection has to be a normed to
+  * 1. The pulse w is in rad/s. It determines the pulse speed by its norm while
+  * the trigonometric or clockwise direction is determined by its sign: When the
+  * axisDirection is pointing "towards you", a positive pulse makes it turn in
+  * the trigonometric way. It has to be noticed that putting both axisDirection
+  * into -axisDirection and w into -w yields an exactly identical situation.
+  */
+
+
+namespace olb {
+
+template <typename T>
+class PowerLaw2D : public AnalyticalF2D<T,T> {
+protected:
+  std::vector<T> _axisPoint;
+  std::vector<T> _axisDirection;
+  T _maxVelocity;
+  T _radius;
+  T _exponent;
+
+public:
+  PowerLaw2D(std::vector<T> axisPoint, std::vector<T> axisDirection,  T maxVelocity, T radius, T exponent);
+  /// construct from material number, note: untested
+  PowerLaw2D(SuperGeometry2D<T>& superGeometry, int material, T maxVelocity, T distance2Wall, T exponent);
+  bool operator()(T output[], const T input[]) override;
+};
+
+template <typename T>
+class Poiseuille2D : public PowerLaw2D<T> {
+
+public:
+  Poiseuille2D(std::vector<T> axisPoint, std::vector<T> axisDirection,  T maxVelocity, T radius);
+  /// construct from material number, note: untested
+  Poiseuille2D(SuperGeometry2D<T>& superGeometry, int material, T maxVelocity, T distance2Wall);
+  //bool operator()(T output[], const T x[]);
+};
+
+
+template <typename T, typename S, typename DESCRIPTOR>
+class PoiseuilleStrainRate2D : public AnalyticalF2D<T,S> {
+protected:
+  T _lengthY;
+  T _maxVelocity;
+
+public:
+  PoiseuilleStrainRate2D(UnitConverter<T,DESCRIPTOR> const& converter, T ly);
+  bool operator()(T output[], const S input[]) override;
+};
+
+/// Analytical solution of porous media channel flow with low Reynolds number
+/// See Spaid and Phelan (doi:10.1063/1.869392)
+template <typename T>
+class AnalyticalPorousVelocity2D : public AnalyticalF2D<T,T> {
+protected:
+  std::vector<T> axisDirection;
+  T K, mu, gradP, radius;
+  T eps;
+public:
+  AnalyticalPorousVelocity2D(std::vector<T> axisDirection_, T K_, T mu_, T gradP_, T radius_, T eps_=T(1));
+  T getPeakVelocity();
+  bool operator()(T output[], const T input[]) override;
+};
+
+
+////////// Polar & Cartesian ///////////////
+
+
+/// This class converts polar coordinates of point x (x[0] = radius, x[1] = phi)
+/// to Cartesian coordinates (wrote into output field).
+/// Initial situation for the Cartesian coordinate system is that angle phi
+/// lies in the x-y-plane and turns round the _polarOrigin in math. pos sense.
+template <typename T, typename S>
+class PolarToCartesian2D : public AnalyticalF2D<T,S> {
+protected:
+  /// origin of the polar coordinate system to which point x is related
+  std::vector<T> _polarOrigin;
+  //  std::vector<T> _normalToPlane;
+public:
+  /// constructor to obtain Cartesian coordinates of polar coordinates
+  PolarToCartesian2D(std::vector<T> polarOrigin);
+  /// operator writes Cartesian coordinates of polar coordinates
+  /// x[0] = radius >= 0, x[1] = phi in [0, 2*Pi) into output field
+  bool operator()(T output[], const S x[]) override;
+};
+
+
+/// This class converts Cartesian coordinates of point x to polar coordinates
+/// wrote into output field
+/// (output[0] = radius>= 0, output[1] = phi in [0, 2Pi).
+/// Initial situation for the polar coordinate system is that angle phi
+/// lies in plane perpendicular to the _axisDirection and turns around
+/// the _cartesianOrigin. The radius is the distance of point x to the
+/// _axisDirection.
+template <typename T, typename S>
+class CartesianToPolar2D : public AnalyticalF2D<T,S> {
+protected:
+  /// origin of the Cartesian coordinate system
+  std::vector<T> _cartesianOrigin;
+  /// direction of the axis along which the polar coordinates are calculated
+  std::vector<T> _axisDirection;
+  /// direction to know orientation for math positive to obtain angle phi
+  /// of Cartesian point x
+  std::vector<T> _orientation;
+public:
+  CartesianToPolar2D(std::vector<T> cartesianOrigin,
+                     std::vector<T> axisDirection,
+                     std::vector<T> orientation = {T(1),T(),T()});
+  CartesianToPolar2D(T cartesianOriginX, T cartesianOriginY,
+                     T cartesianOriginZ,
+                     T axisDirectionX, T axisDirectionY, T axisDirectionZ,
+                     T orientationX = T(1), T orientationY = T(),
+                     T orientationZ = T());
+  /// operator writes polar coordinates of Cartesian point x into output
+  /// field,
+  /// returns output[0] = radius ( >= 0 ), output[1] = phi in [0, 2Pi)
+  bool operator()(T output[], const S x[]) override;
+};
+
+} // end namespace olb
+#endif